Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 43, Problem 33P
To determine
To calculate:
the height of the Coulomb barrier for collision between two 7Li that are fired at each other with same kinetic energy K.
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ts) We can approximate the 232Th nucleus as a one-dimensional infinite square well
with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic
mass number.
(a) What is the length of this infinite square well? What is the ground state energy of a
proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well?
(b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons
trapped in the infinite square well. How many energy levels of this infinite square well
contain protons? How many energy levels contain neutrons?
The difference in the coulomb energy between the mirror nuclei (_24^49)Cr and (_25^49)Mn is 6 MeV. Assuming that the nuclei have spherically symmetric charge distribution and that e^2 is approximately 1.0 MeV-fm. Find the radius of the (_25^49)Mn Nucleus.
(a) What is the ratio of the radii of the nuclei Ni-58 and N-15?
(b) What is the ratio of the densities of these nuclei?
OA: 1.570 OB: 1.836 OC: 2.149 OD: 2.514 OE: 2.941 OF: 3.441 OG: 4.026 OH: 4.711
OA: 0.2 OB: 0.3 OC: 0.3 OD: 0.4 OE: 0.5 OF: 0.6 OG: 0.8 OH: 1.0
Chapter 43 Solutions
Fundamentals of Physics Extended
Ch. 43 - Prob. 1QCh. 43 - Prob. 2QCh. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6QCh. 43 - Prob. 7QCh. 43 - Which of these elements is not cooked up by...Ch. 43 - Prob. 9QCh. 43 - Prob. 10Q
Ch. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - SSM a A neutron of mass mn and kinetic energy K...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - SSM WWW Coal burns according to the reaction...Ch. 43 - Prob. 48PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - Prob. 52PCh. 43 - Prob. 53PCh. 43 - Prob. 54PCh. 43 - Prob. 55PCh. 43 - Prob. 56PCh. 43 - Prob. 57PCh. 43 - Prob. 58P
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- (a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forward(a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forward(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forward
- Mg, dMg are all stable. Draw energy-level diagrams for these nuclei and use the dia grams to explain how it is possible that all three of these nuclei are stable. Can you say for certain that electrostatic repulsion is significant here?arrow_forwardThe difference in the coulomb energy between the mirror nuclei 49 24 Cr and 49 25 Mn is 6 MeV. Assuming that the nuclei have spherically symmetric charge distribution and that e2is approximately 1.0 MeV-fm. Find the radius of the 49 25 Mn nuclious Plot the radius with the parameter e2.?arrow_forwardConsider the nuclei 117Sn50. Determine its mass defect in kilograms if its atomic mass is 116.968 amu. The mass of a proton and neutron are 1.0073 and 1.0087 amu, respectively.arrow_forward
- An a particle is emitted by a 230 Th nucleus. Assuming the potential to be purely Coulombic beyond the point of separation, the height of the Coulomb barrier is MeV (up to two decimal places). e? =1.44 MeV-fm, r, =1.30 fm ) 4T Eoarrow_forwarda) Calculate the energy corresponding to the Gamow peak for proton-proton fusion at T = 108K. b) Describe the PP chains in stars. c) Consider elastic scattering of electrons by a nucleus with charge distribution given by if r Ri, Pe(r) = = p/2 0 if Ri Ro, where r represents the radial distance from the centre of the nucleus. Calculate the form factor of the process. d) Consider two nuclei 2i4X2i+1 and 2, where i is a positive integer number. According to the semi-empirical mass formula for the binding energy, which one has larger binding energy? Justify your answer.arrow_forwardConsider the nuclei 11750Sn. Determine its mass defect in kilograms if its atomic mass is 116.95 amu. The mass of a proton and neutron are 1.0073 and 1.0087 amu, respectively. Note: Express your answers in three decimal places in scientific notationarrow_forward
- An a grain with a kinetic energy of 5 MeV approaches an Au (gold) nucleus with the sighting parameter equal to the radius of the Au nucleus. a. Find the maximum approach distance of the a particle to the nucleus in these conditions. (Za=2, ZAu=79 and rAu=7 fm) b. How close can the alpha particle get to the gold core? c. Únder what conditions can this approach take place (Assume the target core does not rebound)arrow_forwardFor the nucleus ¹60 the neutron and proton separation energies are 15.7 and 12.2 MeV, respectively. Estimate the radius of this nucleus assuming that the particles are removed from its surface and that the difference in separation energies is due to the Coulomb potential energy of the proton. [University of Wales, Aberystwyth 2004]arrow_forwardA pair of nuclei for which Z1 = N2 and Z2 = N1 are called mirror isobars. (The atomic and neutron numbers are interchangeable.) Binding - energy measurements on such pairs can be used to obtain evidence of the charge independence of nuclear forces. Charge independence means that the proton–proton, proton–n eutron, and neutron–neutron forces are approximately equal. Calculate the difference in binding energy for the two mirror nuclei 815O and 715Narrow_forward
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